6801414120 has 48 divisors (see below), whose sum is σ = 22104597060. Its totient is φ = 1813710336.

The previous prime is 6801414107. The next prime is 6801414127. The reversal of 6801414120 is 214141086.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5445554436 + 1355859684 = 73794^2 + 36822^2 .

It is not an unprimeable number, because it can be changed into a prime (6801414127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9446049 + ... + 9446768.

Almost surely, 2^6801414120 is an apocalyptic number.

6801414120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6801414120 is an abundant number, since it is smaller than the sum of its proper divisors (15303182940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6801414120 is a wasteful number, since it uses less digits than its factorization.

6801414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18892834 (or 18892827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6801414120 is about 82470.6864285729. The cubic root of 6801414120 is about 1894.6677937947.

The spelling of 6801414120 in words is "six billion, eight hundred one million, four hundred fourteen thousand, one hundred twenty".